Clifford Transformations for Fermionic Quantum Systems: From Paulis to Majoranas to Fermions

Quantum Physics arXiv:2510.23923 (quant-ph) [Submitted on 27 Oct 2025] Title:Clifford Transformations for Fermionic Quantum Systems: From Paulis to Majoranas to Fermions Authors:Ilias Magoulas, Francesco A. Evangelista View a PDF of the paper titled Clifford Transformations for Fermionic Quantum Systems: From Paulis to Majoranas to Fermions, by Ilias Magoulas and Francesco A. Evangelista View PDF Abstract:Clifford gates and transformations, which map products of elementary Pauli or Majorana operators to other such products, are foundational in quantum computing, underpinning the stabilizer formalism, error-correcting codes, magic state distillation, quantum communication and cryptography, and qubit tapering. Moreover, circuits composed entirely of Clifford gates are classically simulatable, highlighting their computational significance. In this work, we extend the concept of Clifford transformations to fermionic systems. We demonstrate that fermionic Clifford transformations are generated by half-body and pair operators, providing a systematic framework for their characterization. Additionally, we establish connections with fermionic mean-field theories and applications in qubit tapering, offering insights into their broader implications in quantum computing. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2510.23923 [quant-ph] (or arXiv:2510.23923v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2510.23923 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Ilias Magoulas [view email] [v1] Mon, 27 Oct 2025 23:08:22 UTC (59 KB) Full-text links: Access Paper: View a PDF of the paper titled Clifford Transformations for Fermionic Quantum Systems: From Paulis to Majoranas to Fermions, by Ilias Magoulas and Francesco A. EvangelistaView PDFTeX Source view license Current browse context: quant-ph new | recent | 2025-10 References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) Links to Code Toggle Papers with Code (What is Papers with Code?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)